{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prediction Strength - a simple, yet relatively unknown way to evaluate clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import sys\n",
    "\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "from scipy.spatial import distance\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns \n",
    "plt.style.use('seaborn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = 'retina'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 347,
       "width": 487
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=600, centers=3, cluster_std=0.6, random_state=42)\n",
    "\n",
    "ax = sns.scatterplot(x=X[:, 0], y=X[:, 1], hue=y)\n",
    "ax.set_title('Generated Data', fontsize=16);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Elbow plot approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 358,
       "width": 509
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# setting the range of k\n",
    "clusters = range(1, 10)\n",
    "\n",
    "# running the clustering \n",
    "wss_list = []\n",
    "\n",
    "for k in clusters:\n",
    "    model = KMeans(n_clusters=k)\n",
    "    model.fit(X)\n",
    "    wss_list.append(model.inertia_)\n",
    "\n",
    "# plotting\n",
    "_, ax = plt.subplots()\n",
    "ax.plot(clusters, wss_list, '-o', color='black')\n",
    "ax.set(title='Elbow plot', \n",
    "       xlabel='number of clusters', \n",
    "       ylabel='WSS');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction strength approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# train/test split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, shuffle=True, stratify=y, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# defining functions for calculating prediction strength\n",
    "\n",
    "def get_closest_centroid(obs, centroids):\n",
    "    '''\n",
    "    Function for retrieving the closest centroid to the given observation \n",
    "    in terms of the Euclidean distance.\n",
    "    \n",
    "    Parameters\n",
    "    ----------\n",
    "    obs : array\n",
    "        An array containing the observation to be matched to the nearest centroid\n",
    "    centroids : array\n",
    "        An array containing the centroids\n",
    "    \n",
    "    Returns\n",
    "    -------\n",
    "    min_centroid : array\n",
    "        The centroid closes to the obs \n",
    "    '''\n",
    "    min_distance = sys.float_info.max\n",
    "    min_centroid = 0\n",
    "    \n",
    "    for c in centroids:\n",
    "        dist = distance.euclidean(obs, c)\n",
    "        if dist < min_distance:\n",
    "            min_distance = dist\n",
    "            min_centroid = c\n",
    "            \n",
    "    return min_centroid\n",
    "\n",
    "def get_prediction_strength(k, train_centroids, x_test, test_labels):\n",
    "    '''\n",
    "    Function for calculating the prediction strength of clustering\n",
    "    \n",
    "    Parameters\n",
    "    ----------\n",
    "    k : int\n",
    "        The number of clusters\n",
    "    train_centroids : array\n",
    "        Centroids from the clustering on the training set\n",
    "    x_test : array\n",
    "        Test set observations\n",
    "    test_labels : array\n",
    "        Labels predicted for the test set\n",
    "        \n",
    "    Returns\n",
    "    -------\n",
    "    prediction_strength : float\n",
    "        Calculated prediction strength\n",
    "    '''\n",
    "    n_test = len(x_test)\n",
    "    \n",
    "    # populate the co-membership matrix\n",
    "    D = np.zeros(shape=(n_test, n_test))\n",
    "    for x1, l1, c1 in zip(x_test, test_labels, list(range(n_test))):\n",
    "        for x2, l2, c2 in zip(x_test, test_labels, list(range(n_test))):\n",
    "            if tuple(x1) != tuple(x2):\n",
    "                if tuple(get_closest_centroid(x1, train_centroids)) == tuple(get_closest_centroid(x2, train_centroids)):\n",
    "                    D[c1,c2] = 1.0\n",
    "    \n",
    "    # calculate the prediction strengths for each cluster\n",
    "    ss = []\n",
    "    for j in range(k):\n",
    "        s = 0\n",
    "        examples_j = x_test[test_labels == j, :].tolist()\n",
    "        n_examples_j = len(examples_j)\n",
    "        for x1, l1, c1 in zip(x_test, test_labels, list(range(n_test))):\n",
    "            for x2, l2, c2 in zip(x_test, test_labels, list(range(n_test))):\n",
    "                if tuple(x1) != tuple(x2) and l1 == l2 and l1 == j:\n",
    "                    s += D[c1,c2]\n",
    "        ss.append(s / (n_examples_j * (n_examples_j - 1))) \n",
    "\n",
    "    prediction_strength = min(ss)\n",
    "\n",
    "    return prediction_strength"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 358,
       "width": 495
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# running the clustering \n",
    "strengths = []\n",
    "for k in clusters:\n",
    "    model_train = KMeans(n_clusters=k, random_state=42).fit(X_train)\n",
    "    model_test = KMeans(n_clusters=k, random_state=42).fit(X_test)\n",
    "    \n",
    "    pred_str = get_prediction_strength(k, model_train.cluster_centers_, X_test, model_test.labels_)\n",
    "    strengths.append(pred_str)\n",
    "\n",
    "# plotting\n",
    "_, ax = plt.subplots()\n",
    "ax.plot(clusters, strengths, '-o', color='black')\n",
    "ax.axhline(y=0.8, c='red');\n",
    "ax.set(title='Determining the optimal number of clusters', \n",
    "       xlabel='number of clusters', \n",
    "       ylabel='prediction strength');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
